Question

Please solve and show steps : What is the binary number 110001100101 in octal?

Answer 1

First we make a table of binary( Base-2) to Octal(Base-8)-

Binary	Octal
000	0
001	1
010	2
011	3
100	4
101	5
110	6
111	7

The given binary number is-

(MSB)110001100101(LSB)

Now make combinations of three digits from LSB to MSB-

110 001 100 101

Now write octal digit corresponding to each binary digits combinations-

110 001 100 101    6 1 4 5

Hence the octal number corresponding to binary number 110001100101 is-

(110001100101)₂ = (6145)₈